3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 ww 3.10 Struts Mention the Stresses Which are Responsible for Column Failure. End Conditions of Columns Explain the Failure of Long Column State the Assumptions Made in the Euler’s Column theory and Explain the Sign Conventions Considered In Columns. Derive the Expression for Crippling Load When the Both Ends of the Column are Hinged Derive the Expression for Buckling Load (Or) Crippling Load When Both Ends of the Column are Fixed Derive the Expression For Crippling Load When Column With One End Fixed and Other End Hinged Derive the Expression for Buckling Load for the Column With One End Fixed and Other End Free Expression For Crippling Load Expression for Buckling Load (Or) Crippling Load Expression For Crippling Load When Column With One End Fixed And Other End Hinged Expression For Buckling Load For The Column With One Fixed And Other End Free Explain Equivalent Length (Or) Effective Length Write The Equivalent Length (L) Of The Column In Which Both Ends Hinged And Write The Crippling Load Write The Relation Between Equivalent Length And Actual Length For All End Conditions Of Column. CORE (OR) KERNEL OF A SECTION Derive The Expression For Core Of A Rectangular Section Derive The Expression For Core Of A Solid Circular Section Of Diameter D 52 52 52 53 54 STATE OF STRESS IN THREE DIMENSIONS Stress Principal Planes Spherical Tensor Deviator Stress Tensor Stress Components At A Point The Energy Of Distortion ( Shear Strain Energy ) And Dilatation State The Principal Theories Of Failure Limitations Of Maximum Principal Stress Theory Maximum Principal Stress Theory 92 92 92 92 92 93 95 w.E 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 asy En gin eer ing 54 56 58 59 61 62 62 62 62 62 63 67 67 68 .ne 101 102 102 t
ww 4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.17 4.18 4.19 4.20 5 4.21 4.22 4.23 4.24 Maximum Shear Stress Theory Limitations Of Maximum Shear Stress Theory Shear Strain Energy Theory Limitations Of Distortion Energy Theory Maximum Principal Strain Theory Limitations In Maximum Principal Strain Theory Stress Tensor In Cartesian Components Three Stress Invariants Two Types Of Strain Energy The Maximum Principal Stress Explain The Maximum Shear Stress (Or) Stress Difference Theory Explain The Shear Strain Energy Theory Explain The Maximum Principal Strain Theory Explain The Strain Energy Theory Theories Of Failure 102 102 102 102 102 102 102 103 104 104 105 w.E 106 107 109 110 ADVANCED TOPICS IN BENDING OF BEAMS 5.1 Unsymmetrical Bending 5.2 State The Two Reasons For Unsymmetrical Bending 5.3 Shear Centre 5.4 Write The Shear Centre Equation For Channel Section 5.5 Write The Shear Centre Equation For Unsymmetrical I Section 5.6 Derive The Equation Of Shear Centre For Channel Section 5.7 Derive The Equation Of Shear Center For Unequa-Lsei Ction 5.8 Derive The Stresses In Curved Bars Us Ing Winkl–Erbach Theory 5.9 State The Parallel Axes And Principal Moment Of Inertia 5.10 Stress Concentration 5.11 Stress Concentration Factor 5.12 Fatigue Stress Concentration Factor 5.13 Shear Flow 5.14 Explain The Position Of Shear Centre In Various Sections 5.15 State The Principles Involved In Locating The Shear Centre 5.16 State The Stresses Due To Unsymmetrical Bending 5.17 Fatigue 5.18 Types Of Fatigue Stress 119 119 119 119 119 120 120 121 122 asy En gin eer ing .ne 135 135 135 135 135 136 136 136 136 136 t
5.19 State The Reasons For Stress Concentration 5.20 Creep 137 137 ww w.E asy En gin eer ing .ne t
CE6402 STRENGTH OF: www.EasyEngin MATERIALS Downloaded From eering.net LT P C 3104 OBJECTIVES: To know the method of finding slope and deflection of beams and trusses using energy theorems and to know the concept of analysing indeterminate beam. To estimate the load carrying capacity of columns, stresses due to unsymmetrical bending and various theories for failure of material. UNIT I ENERGY PRINCIPLES 9 Strain energy and strain energy density – strain energy due to axial load, shear, flexure and torsion – Castigliano‟s theorems – Maxwell‟s reciprocal theorems - Principle of virtual work – application of energy theorems for computing deflections in beams and trusses - Williot Mohr's Diagram. UNIT II INDETERMINATE BEAMS 9 Concept of Analysis - Propped cantilever and fixed beams-fixed end moments and reactions – Theorem of three moments – analysis of continuous beams – shear force and bending moment diagrams. UNIT III COLUMNS AND CYLINDER 9 Eulers theory of long columns – critical loads for prismatic columns with different end conditions; Rankine-Gordon formula for eccentrically loaded columns – Eccentrically loaded short columns – middle third rule – core section – Thick cylinders – Compound cylinders. ww UNIT IV STATE OF STRESS IN THREE DIMENSIONS 9 Determination of principal stresses and principal planes – Volumetric strain –Theories of failure – Principal stress - Principal strain – shear stress – Strain energy and distortion energy theories – application in analysis of stress, load carrying capacity. w.E asy UNIT V ADVANCED TOPICS IN BENDING OF BEAMS 9 Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – Shear Centre curved beams – Winkler Bach formula. OUTCOMES: En gin TOTAL (L:45+T:15): 60 PERIODS eer Students will have through knowledge in analysis of indeterminate beams and use of energy method for estimating the slope and deflections of beams and trusses. They will be in a position to assess the behaviour of columns, beams and failure of materials. TEXT BOOKS: ing .ne t 1. Rajput R.K. "Strength of Materials (Mechanics of Solids)", S.Chand & company Ltd., New Delhi, 2010. 2. Egor P Popov, “Engineering Mechanics of Solids”, 2nd edition, PHI Learning Pvt. Ltd., New Delhi, 2012. REFERENCES: 1. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003. 2. William A .Nash, “Theory and Problems of Strength of Materials”, Schaum‟s Outline Series,Tata McGraw Hill Publishing company, 2007. 3. Punmia B.C."Theory of Structures" (SMTS) Vol 1&II, Laxmi Publishing Pvt Ltd, New Delhi 2004. 4. Rattan.S.S., "Strength of Materials", Tata McGraw Hill Education Pvt. Ltd., New Delhi,2011.